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Finding the Fourth Proportional to 5,776.75, 8,664.90 and 3,277.90

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Solution

The fourth proportional to 5,776.75, 8,664.90 and 3,277.90 is: 4,916.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,776.75 : 8,664.90 = 3,277.90 : x
  2. Step 2: Convert to fraction form
    5,776.75/8,664.90 = 3,277.90/x
  3. Step 3: Cross multiply
    5,776.75x = 8,664.90 × 3,277.90
  4. Step 4: Simplify right side
    5,776.75x = 28,402,675.71
  5. Step 5: Solve for x
    x = 28,402,675.71/5,776.75
  6. Step 6: Final answer
    x = 4,916.72

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.